Exercise 34 Page 11

Start by removing parentheses, then combine like terms.

7c^2+6c-3

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To simplify the given expression, we will first eliminate the parentheses.

(2c^2+6c+4)+(5c^2-7)

Remove parentheses

2c^2+6c+4+5c^2-7

The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined. 2c^2 + 6c + 4 + 5c^2 - 7 We have two pairs of like terms: two c^2-terms and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

2c^2+6c+4+5c^2-7

CommutativePropAdd

Commutative Property of Addition

2c^2+5c^2+6c+4-7

AddSubTerms

Add and subtract terms

7c^2+6c-3

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Exercises p.10-13

Exercise 34 Page 11

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